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Simplifying 21x + -16 = 5(4x + -4) + -4 Reorder the terms: -16 + 21x = 5(4x + -4) + -4 Reorder the terms: -16 + 21x = 5(-4 + 4x) + -4 -16 + 21x = (-4 * 5 + 4x * 5) + -4 -16 + 21x = (-20 + 20x) + -4 Reorder the terms: -16 + 21x = -20 + -4 + 20x Combine like terms: -20 + -4 = -24 -16 + 21x = -24 + 20x Solving -16 + 21x = -24 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -16 + 21x + -20x = -24 + 20x + -20x Combine like terms: 21x + -20x = 1x -16 + 1x = -24 + 20x + -20x Combine like terms: 20x + -20x = 0 -16 + 1x = -24 + 0 -16 + 1x = -24 Add '16' to each side of the equation. -16 + 16 + 1x = -24 + 16 Combine like terms: -16 + 16 = 0 0 + 1x = -24 + 16 1x = -24 + 16 Combine like terms: -24 + 16 = -8 1x = -8 Divide each side by '1'. x = -8 Simplifying x = -8
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